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If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
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Q1
If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
15
17
20
22
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Substituting n = 5 into the equation gives a_5 = 3(5) + 2 = 15 + 2 = 17.
Questions & Step-by-step Solutions
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Q
Q: If a sequence is defined as a_n = 3n + 2, what is the value of a_5?
Solution:
Substituting n = 5 into the equation gives a_5 = 3(5) + 2 = 15 + 2 = 17.
Steps: 6
Show Steps
Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
Step 2: Determine the value of n we want to use, which is 5 in this case.
Step 3: Substitute n = 5 into the formula: a_5 = 3(5) + 2.
Step 4: Calculate 3 times 5, which equals 15.
Step 5: Add 2 to the result from Step 4: 15 + 2 equals 17.
Step 6: Conclude that the value of a_5 is 17.
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